We define ?Alike Triangle? for any root @ of any equation as isosceles triangle with vertical angleequal to f(@).For example equation x^3 ? 3*x + 1=0 has roots 2sin(pi/18), 2sin(5pi/18) and -2sin(7pi/18).So for root -2sin(7pi/18) corresponding alike triangle will be isosceles triangle with vertical angleequal to f(-2sin(7pi/18))=2*sin^-1(mod[{-2sin(7pi/18)}/2])=2*sin^-1(mod[-sin(7pi/18)])=2*sin^-1(sin(7pi/18))=2*(7pi/18)In the same way, ?Alike Triangles? for equation x^3 ? 3*x + 1=0 will be isosceles triangle with verticalangles 20 degree, 100 degree and 140 degrre.We have seen these triangles have some alike properties.(See my post with title Puzzling Geometry).Here I am not giving exact definition of alike properties.